FIELD OF THE INVENTION
[0001] The invention relates to an instrument for measuring the distances of points from
a plane or a straight line defined by means of the instrument. The instrument is also
applicable to marking out points from a plane or a straight line.
BACKGROUND OF THE INVENTION
[0002] Work of this character is common in the field and on construction sites in connection
with surveying, construction work, and building of houses and ships. Similar tasks
are common in connection with erection and adjusting of machines and measuring apparatus,
so called optical tooling.
[0003] For such tasks it is now most common to employ instruments based on a sighting telescope
and a movable object, for instance a levelling staff, or some other measuring object
having a clearly visible pattern.
[0004] In operating on greater distances it is, however, for practical reasons necessary
that two persons are involved, viz. one person at the sighting instrument, and one
other person moving the measuring object around. If all operations, including the
read-out, can be performed from the position of the measuring object one person would
be able to perform both read-out and moving the measuring object, and the work would
therefore become considerably more effective.
[0005] In high precision optical tooling the inevitable heat and vibration originating from
the operator would disturb the precise aligning of the telescope instrument. It would
therefore be an advantage to have the operator physically separated from the instrument,
the position of which defines the desired plane or line.
[0006] The employment of light beams from gas lasers emitted in a given direction or in
a given plane is also known, but in view of the dangers pertaining to laser light
and the practical difficulties encountered, inter alia in the current supply to lasers,it
would be advantageous to be able to obviate these components.
[0007] Instruments operating by means of image pairs having oppositely oriented components
are known from the British Patents Nos. 684,292 and 1,235,664. Their function relies
on oppositely oriented images of a measuring object being displaced in each its- direction
by a unilateral displacement of the measuring object from a given plane or line. This
relative displacement of the images is observed by an eye, possibly enlarged by means
of a telescope or the like.
[0008] In instruments according to the first mentioned patent an image pair is formed by
means of semi-transparent mirrors located in both focal planes of a lens or in a focal
plane of a concave mirror. The formation of the image pair is in other words dependent
on a depiction by means of a focussing system which means that the images in the case
of large measuring distances must be highly reduced relative to the measuring object
in order to obtain reasonable dimensions of the optical system. This is very disadvantageous
with a view to the faithfulness of the instrument.
[0009] British Patent No. 1,235,664 describes an instrument which by means of reflections
in plane surfaces forms a vertically inverted image in natural size of the measuring
object. On regarding this image together with the direct sight through the instrument
the same effect is obtained as by an image pair having oppositely oriented components
and an exactitude corresponding to work with a sighting telescope. An instrument according
to that specification is, however, to be employed in the same manner and with principally
the same lay-out as the sighting telescope, since the measuring object is to be viewed
through the instrument so that the measuring operation cannot be performed by a person
on the position of the measuring object.
OBJECT OF THE INVENTION
[0010] The object of this invention is to provide instruments for the said measuring and
marking out operations which during the measuring operations can be handled by one
person on the location of the measuring object and do not need another person for
handling the outfit which defines the desired direction or the desired plane and which
operates without the use of laser light.
BRIEF STATEMENT OF THE INVENTION
[0011] This object is obtained according to the invention by means of instruments that create
at least two differently oriented images of a measuring object characterised in that
the optic system is designed in such a manner that all the oppositely oriented images
which are used for the measuring process are mirror images of the measuring objects,
and in that all reflecting or refracting surfaces necessary for the formation of the
said mirror images are plane or curved in such a manner that the combined reflecting
or refracting systems have a so small combined optic power that substantially the
same effect is obtained as if all the surfaces were planar.
[0012] The invention may be performed in many different ways as exemplified below, but all
embodiments have the common feature that there are formed in the instrument by means
of planar reflecting surfaces at least two mirror images of a measuring object in
such a manner that one of the images is oriented oppositely to another in one or several
directions. When the images are regarded by an eye, possibly by means of optic aids
for enlarging the images, a displacement in opposite directions of two differently
oriented images will indicate a deviation of the measuring object from the plane or
the straight line defined by the placing of the instrument.
[0013] The most important feature of the invention is that the differently oriented images
which are regarded in the measuring process are mirror images of the measuring object
so that this latter may be located on the place of the observer while at the same
time focussing optic systems such as lenses or concave mirrors for the creation of
these mirror images are not required, so that the images will always be in full scale.
[0014] In lieu of a visual observation of the image pairs their relative displacement can
be detected electro-optically as shown below.
[0015] In some cases it may be advantageous in lieu of wholly planar surfaces to use curved
surfaces. If the curvature is very small or if the optical power of a plurality of
curved surfaces cancels out totally or partly, substantially the same effect will
be obtained as if all the surfaces were planar.
BRIEF DESCRIPTION OF THE DRAWINGS
[0016] The invention is explained in various embodiments in more detail in the following
with reference to the drawings.
Figs. 1 and 2 show the simplest embodiment comprising only a prism having a semi-transparent
front face,
Fig. 3 shows a coaxial embodiment in which the measuring object is transparent and
transilluminated by a system comprising an incandescent lamp and a reflector,
Fig. 4 shows a version arranged as an optical plumb line,
Fig. 5 shows a simple embodiment for defining a plane omnidirectionally about the
instrument,
Fig. 6 shows a more sophisticated embodiment than the system of Fig. 5 in which the
two images are visible in a larger angle and in which the system may be performed
as an automatically horizontat- ing levelling instrument,
Fig. 7 shows an embodiment for defining a plane more exactly than the mechanical pivot
guide for the optical components,
Fig. 8 shows a version of the system of Fig. 7 having a larger angle of field,
Fig. 9 shows an embodiment in which the oppositely oriented images are lying exactly
in the same plane and,
Fig. 9 shows an embodiment having electro-optical read-out.
DESCRIPTION OF THE DRAWINGS
[0017] Fig. 1 shows a right-angled prism 8, where 3 denotes the edge having the right angle
and being perpendicular to the plane of the paper: The faces 4, 5 and 6 are likewise
perpendicular to the plane of the paper. According to known optical theory the faces
4 and 5 are reflecting for light rays entering substantially perpendicular to the
face 6 so that the combined reflection in the faces 4 and 5 corresponds to a reflection
about the line 3.
[0018] If the face 6 is provided with a layer which makes this face partly transparent and
partly reflecting this prism will create two mirror images which are oppositely oriented.
Thus, a measuring object 7 will be mirrorred about the line 3 into the mirror image
2 and in the face 6 into the mirror image 1.
[0019] If the centre of the measuring object 7 is displaced a distance a out of the plane
10 in the direction of the arrow head of the arrow 7, the mirror images 1 and 2 will
be displaced the same distance a in either direction as shown in Fig. 2. This relative
displacement of the images will be observable by an eye 9 in the vicinity of the measuring
object and will thus indicate that the centre of the measuring object is outside the
plane 10.
[0020] Reading the instrument may be performed through making the measuring object as a
measuring stick so that the relative displacement of the oppositely oriented images
may be directly read out. A practically more exact manner is to displace the measuring
object back to its original location so that the two images coincide. This displacement
to make the images coincide is measured directly by means of a scale or the like on
the sighting instrument.
[0021] The plane 10 which is thus defined by the prism is determined by the conditions that
it must be perpendicular to the face 6 and contain the line 3.
[0022] A modification of the instrument is obtained by using a trihedral prism in lieu of
the right angled prism. Such a trihedral prism functions according to known optical
theory in such a manner than an object placed before the prism in the vicinity of
the axis thereof is reflected about the apex of the prism.
[0023] In Figs. 1 and 2 the prism as shown is supposed to be such a trihedral prism with
the point 3 as its apex. The mirror image 1 is as before a reflection in the face
6, whereas the image 2 is now a reflection about the point 3 and is therefore oppositely
oriented as against 1 not only in the plane of the figure but also perpendicular thereto
in the plane 10. A relative displacement of the two images is now produced not only
by a displacement of the measuring object 7 in the plane of the figure but also by
displacement in the plane 10. This instrument defines in other words a straight line
through point 3 and perpendicular to 6.
[0024] In order to improve the measuring exactitude the image pairs 1 and 2 may be viewed
through a telescope, a microscope etc. and in order to create convenient working positions
a light path from the image pair to the eye may be bent or folded by means of prisms
and mirrors.
[0025] These extra components may advantageously be combined into a unit. Thus, the instrument
will comprise two separate parts, viz. the definition part which contains those components
which form the differently oriented mirror images and thus fixes the defined line
or plane, and the viewing part which contains the measuring object etc. and the components
which make it possible for the eye of the operator to see the differently oriented
mirror images in a convenient direction and with a suitable enlargement.
[0026] In the case of work over larger distances it will be desirable that the entire optic
system is coaxial in order that the components shall not become too large.
[0027] An example of such an arrangement is shown in Fig. 3 in which 11 denotes a semi-transparent
mirror, 12 and 13 denote objective and ocular, resp. of a telescope through which
the eye 78 is viewing the image pairs. 79 designates the measuring object which ordinarily
consists of a pattern of parallel lines and lines perpendicular thereto. A conventional
illuminating system comprising an incandescent lamp 15 and concave mirror 16 and a
condenser lens 14 is added in order to increase the luminance of the line pattern.
[0028] Fig. 4 shows another modification of the invention which is here used as an optic
plumb line. 17 denotes a vial having a mercury surface and an optical aperture at
the top. The mercury surface is reflecting and forms an image corresponding to image
1 in Fig. 1. 18 denotes a composite prism assembled along a semi-transparent diagonal
face, whereas 19 denotes a trihedral prism forming an image corresponding to image
2 in Fig. 1. 80 denotes the measuring object and 81 the viewing system. This instrument
defines a plumb line passing through the apex of the mirror image of the prism 19
in the diagonal surface of 18. In lieu of a mercury surface a planar mirror may be
employed suspended in such a manner that it is horizontal by gravity.
[0029] In order to define a plane omnidirectionally around the prism the modification of
the invention as shown in Fig. 1 having a trihedral prism could be employed with the
prism mounted rotatably about an axis perpendicular to the plane to be defined. This
is shown in Fig. 5 where 20 denotes the prism having the apex 21. The prism is secured
to a disc 22 by means of lugs 23. This disc 22 is at the bottom made as a shaft which
is pivotally mounted in journals 24 and 25. The prism which at any moment defines
a line through 21 perpendicular to the foremost semi-transparent surface will upon
rotation describe a plane perpendicular to the axis of rotation if the prism is mounted
in such a way that the semi-transparent surface is parallel to the axis of rotation.
[0030] If this embodiment of the invention shall enable the measuring work to be performed
by one person at the position of the measuring object 82 the rotation of the prism
must be continuous or be controllable from the said position. This can be accomplished,
for instance by performing the rotation by means of an electro- motor capable of being
started and stopped by signals from the position of the measuring object.
[0031] When working over large distances the said start and stop of the rotation becomes
very critical, since the mirror image produced by the semi-transparent surface is
only visible in a small zone around the defined line. This problem may be solved by
the modification of the invention shown in Fig. 6.
[0032] In Fig. 6 the plane of the figure is the defined plane. The three prisms are secured
in relation to each other and can be rotated as a unit about an axis perpendicular
to the plane of the figure. 26 denotes a composite cemented prism having a semi-transparent
diagonal surface. 27 denotes a trihedral prism without a semi-transparent coating
on the front face whereas 28 is a right-angled prism arranged so that the edge 9 having
the right angle is perpendicular to the plane of the figure. Through this arrangement
a plane perpendicular to the edge 29 and going through the apex of the mirror image
of the prism 27 in the diagonal plane of the prism 26 is momentarily defined. This
follows from the fact that the mirror image 30 about the line 29 in a direction perpendicular
to the plane of the figure becomes oppositely directed relative to the mirror image
31 about the apex of the prism 27. The two mirror images 30 and 31 are however both
oppositely oriented in the plane of the figure as against the measuring object 32
and they are therefore visible from 32 even at comparatively large rotations of the
prism unit.
[0033] If the rotational axis of the prism unit of Fig. 6 is substantially vertical and
the prism 28 is supported in such a manner that the edge 29 owing to the influence
of gravity is maintained vertical the instrument becomes an automatically horizontating
levelling instrument, the defined plane ' being according to the above explanation
perpendicular to the edge 29.
[0034] If a plane is to be defined with great exactitude and it is not to be horizontal
so that the above mentioned automatical horizontating embodiment could be used, a
modification of the invention as shown in Fig. 7 may be employed.
[0035] In Fig. 7 32 denotes a pentaprism having 45
0 between the two reflecting faces. This prism is mounted fixedly on a disc 33 which
by means of a journal 34 is rotatable in relation to a socket 35. A trihedral prism
having a semi-transparent coating on the front face is denoted by 36. This prism is
secured to a socket 37 which is in fixed connection with the socket 35. According
to known optic theory the prism 32 forms a mirror image of the prism 36 the position
of which image can be found by turning the prism 36 90° about the intersecting line
38 of the two reflecting surfaces. This mirror image 42 is shown in broken lines in
the figure and it forms itself the mirror images 39 and 40 of the measuring object
41 in the usual manner. The function of this instrument corresponds entirely to the
function of the instrument shown in Fig. 5, but the error in the rotational guidance
of the defined line is only a second order error of the error of the mechanical pivotal
guide, whereas the error in the instrument according to Fig. 5 is of the first order
of the mechanical error.
[0036] When working on large distances the instrument shown in Fig. 7 has the same disadvantage
as the instrument of Fig. 5, viz. that the orientation towards the measuring object
must be adjusted very precisely in order for the mirror image 39 to be seen therefrom.
The solution of this problem is as shown in Fig. 6, viz. that the two mirror images
must both be oriented oppositely to the measuring object in the defined plane.
[0037] A modification of the invention which performs these reflections and thus combines
the advantages of the instruments shown in Fig. 7 and in Fig. 6 is shown in Fig. 8.
[0038] In Fig. 8 43 denotes a trihedral prism without a semi-transparent front face which
prism forms a mirror image 44 of the measuring object 45 by means of a part of the
light from the object 45 passing through a semi-transparent mirror 46 both before
and after reflection.
[0039] The oppositely directed component 47 in the pair of mirror images is formed by mirrorring
the light from the object 45 in the mirror 46 either before or after the reflection
in the prism 43 and is therefore guided around the system of mirrors 46-48-49-50-46.
49 denotes a stationary mirror the normal of which becomes a normal to the defined
plane corresponding to the semi-transparent front face of the prism 36 in the instrument
shown in Fig. 7. The prism 43 and the mirrors 48, 46 and 50 are fixedly mounted on
a ring 52 which by means of a journal 53 is rotatable in relation to a foot piece
54.
[0040] It can be shown mathematically that if the angle between the mirrors 46 and 48 is
equal to the angle between the mirros 46 and 50 the resulting reflection in 43-46-48-49-50-46
is equivalent to a reflection in a right-angled prism arranged with the edge having
the right angle perpendicular to the stationary mirror 49. The mirror images are therefore
located as in the instrument shown in Fig. 6, but the directional errors in the defined
plane are substantially smaller than the directional errors in the rotational guidance
of the mirror system.
[0041] In most of the shown embodiments of the invention the two oppositely directed mirror
images are not located at the same distance from the measuring object. Parallax errors
in the read-out of the relative displacement may therefore arise in particular when
working on short distances. By the addition of further optical components it is in
the majority of cases possible to obtain that the two mirror images are located at
the same distance, see for instance Fig. 9, in which the embodiment having a trihedral
prism with semi-transparent front page has been supplemented in this manner. 55 denotes
a trihedral prism without a semi-transparent front face, whereas 56 denotes the effective
apex of this prism around which the reflection takes place. 57 denotes a composite
cemented prism having a semi-transparent diagonal face whereas 58 is a plane mirror
located in such a manner that it is mirrorred in through the apex 56 in the diagonal
face of the prism 57. The reflection in the plane face and in the apex 56 will now
take place in the same optical distance from the measuring object and the mirror images
will accordingly be located in the same distance therefrom.
[0042] In lieu of regarding the relative displacement of the differently oriented mirror
images by eye the displacement may be read out by means of e.g. an electro-optical
system which may be built as shown in Fig. 10. The system shown distinguishes itself
by the fact that mirror images having different orientations are presented successively
to the photodetectors which create the possibility of high sensitivity and high noise-suppression.
[0043] The double images are formed by the prism system 59-60-61 in the same manner as in
the system of Fig. 9 but filters 62 and 63 inserted into the light paths cause the
images formed in 60 and 61, resp., to consist of different frequency ranges of the
radiation spectrum issued by the lamp 64.
[0044] The lens 65 focusses the image of the filaments of the lamp on a bipartite filter
66, the halves of which are transparent for the same frequencies as the filters 62
and 63. The bipartite filter is vibrated to and fro in the direction indicated by
a double arrow so that the light transmitted from the lamp belongs alternately to
one and the other frequence range. The transmitted light is collimated by the lens
67 and illuminates the transparent measuring object 68 which in this case may be only
a diaphragm so that as much light as possible is directed towards the prism system
59-60-61 via the semi-transparent mirror 69.
[0045] The objective 70 forms an image of the mirror images formed by 59-60-61 on the lenses
71 and 72 via the semi-transparent mirror 73. The element 74 is transparent with a
coating the transparency of which varies uniformly from 0 in one end to approximately
1 in the other end so that the transmitted part of the light to the image on 71 is
dependent on the position of the image. 71 and 72 provide an image of 70 on photodetectors
75 and 76, resp. which deliver electric currents i
1 and i
2, resp., in proportion to the received radiation effect. 77 denotes a filter adapted
in such a manner that a relation between the spectral sensitivity of the two photodetectors
is the same for the two frequence ranges employed.
[0046] On forming a tension e proportional to the relation

, .e.g. in an analogous electronic circuit, the magnitude of this tension is a direct
measure of the position of the mirror image of 68 the filter 62 or 63 of which corresponds
to that part of the bipartite filter 66 which momentarily is inserted into the light
path. If the two images are displaced relatively this will assert itself by the fact
that e contains an alternate tension component with the same frequency and phase as
the vibration of the bipartite filter 66.
[0047] In lieu of the filters 62, 63 and 66 having different transparency for different
frequencies they may have different transparency for different directions of polarization
or at different moments. In the last mentioned case the filters may consist e.g. of
controlled shutters or choppers, and the vibrated filter 66 may be dispensed with
since the momentary selection of images having different orientation is performed
directly by the filters.
[0048] In lieu of filters having different or varying transparency filters may be employed
which function due to their different or varying reflectance.
[0049] The modifications of the invention shown in Figs 4 and 6 may be supplemented in such
a manner that the reflections which take place in faces perpendicular to or parallel
with a vertical line are in fact created by a plurality of successive reflections
in faces which have only a fixed angle in relation to the vertical line. It may inter
alia give constructional advantages.